Finding the Fourth Proportional to 2,411.34, 3,617.56 and 767.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.34 : 3,617.56 = 767.98 : x
2. Step 2: Convert to fraction form
   2,411.34/3,617.56 = 767.98/x
3. Step 3: Cross multiply
   2,411.34x = 3,617.56 × 767.98
4. Step 4: Simplify right side
   2,411.34x = 2,778,209.89
5. Step 5: Solve for x
   x = 2,778,209.89/2,411.34
6. Step 6: Final answer
   x = 1,152.14